Magma V2.19-8 Tue Aug 20 2013 16:14:35 on localhost [Seed = 1831661932] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s574 geometric_solution 5.03806161 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.540841256159 0.885915267559 3 2 4 0 0132 3012 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.032490990068 0.978880008066 1 3 0 4 1230 2310 0132 2310 0 0 0 0 0 0 -1 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.032490990068 0.978880008066 1 5 5 2 0132 0132 1023 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.761042832959 0.402776601472 2 4 4 1 3201 1230 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.215222139075 0.472799519445 5 3 3 5 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.508637988707 0.534027925693 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 47658254362/15562501425*c_0101_5^11 - 24376370497/1729166825*c_0101_5^10 - 36749810596/15562501425*c_0101_5^9 + 39965777834/1729166825*c_0101_5^8 + 546667838329/15562501425*c_0101_5^7 + 64765635979/3112500285*c_0101_5^6 - 151683482483/3112500285*c_0101_5^5 - 307445866289/15562501425*c_0101_5^4 + 293723414063/5187500475*c_0101_5^3 - 11862524138/1037500095*c_0101_5^2 - 207823933604/15562501425*c_0101_5 - 398597185087/15562501425, c_0011_0 - 1, c_0011_1 + 1029470/20080647*c_0101_5^11 + 1890982/6693549*c_0101_5^10 + 5110241/20080647*c_0101_5^9 - 2425720/6693549*c_0101_5^8 - 20036057/20080647*c_0101_5^7 - 17043922/20080647*c_0101_5^6 + 14306327/20080647*c_0101_5^5 + 30786175/20080647*c_0101_5^4 - 1426209/2231183*c_0101_5^3 - 7487642/6693549*c_0101_5^2 - 187625/20080647*c_0101_5 + 13869134/20080647, c_0011_4 - 1723930/20080647*c_0101_5^11 - 2170049/6693549*c_0101_5^10 + 3893051/20080647*c_0101_5^9 + 2771363/6693549*c_0101_5^8 + 8980513/20080647*c_0101_5^7 + 3992765/20080647*c_0101_5^6 - 20627644/20080647*c_0101_5^5 + 15729817/20080647*c_0101_5^4 + 3213267/2231183*c_0101_5^3 - 13632875/6693549*c_0101_5^2 + 18353557/20080647*c_0101_5 - 16000609/20080647, c_0101_0 + 2769811/20080647*c_0101_5^11 + 4094938/6693549*c_0101_5^10 - 64016/20080647*c_0101_5^9 - 6611215/6693549*c_0101_5^8 - 20945395/20080647*c_0101_5^7 - 11580983/20080647*c_0101_5^6 + 44213098/20080647*c_0101_5^5 - 3957676/20080647*c_0101_5^4 - 23464120/6693549*c_0101_5^3 + 3884457/2231183*c_0101_5^2 + 7597157/20080647*c_0101_5 + 8459956/20080647, c_0101_1 - 1545898/20080647*c_0101_5^11 - 1832125/6693549*c_0101_5^10 + 5500082/20080647*c_0101_5^9 + 3701260/6693549*c_0101_5^8 + 12300766/20080647*c_0101_5^7 - 1758787/20080647*c_0101_5^6 - 35364367/20080647*c_0101_5^5 + 190102/20080647*c_0101_5^4 + 5503453/6693549*c_0101_5^3 - 3558837/2231183*c_0101_5^2 + 29549890/20080647*c_0101_5 - 16337455/20080647, c_0101_5^12 + 4*c_0101_5^11 - 2*c_0101_5^10 - 8*c_0101_5^9 - 7*c_0101_5^8 + 20*c_0101_5^6 - 3*c_0101_5^5 - 22*c_0101_5^4 + 15*c_0101_5^3 + 2*c_0101_5^2 + 6*c_0101_5 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB